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Data Analysis 1
- The Prediction of Data Data Analysis Team
05
1

Nobuya Yoshizawa, Goshi Fujimoto, Atsuko Chiba, Xu Changjing
Outline

1. Objectives
2. Hypothesis
3. Analysis process
4. Result
5. Conclusion
6. Possible reasons
7. Role of members
Q&A
2
1. Objectives
 Does the future investment cause the high
performance of management?
 What is Experimental and research expense?
The special expense for studying and researching
new product or new technology

Experimental and Research Expense (KYen/Firm)

⇒ Future

3

investment!

20,000 40,581
18,000
16,000
14,000
12,000
10,000

11,497
11,203
8,414

8,000
6,000
4,000
2,000
0

3,319
2,3692,1301,991
1,6281,3581,1991,1471,028
829 434 384
2. Hypothesis
When Experimental and research expense is high,
Gross profit rate is high
When a company produces new products, they might be expensive in short
range and cause profitable.

Total Asset is high
Since a company produces new products and technology, the total asset of
the company must be high.

# of employee is high
Large manufacturing company in Japan has a lot of employees and owns the
laboratory to produce new products and technology.
4
2. Hypothesis
 Scatter with E&R expense

Clear relationship between E&R expense and hypothesis variables.
We are going to make the multi-regression model next…
5
3. Analysis
 To know deeply the objective data and
find the correlation with various data

6

1.
Overview
ing the
objectiv
e data

2. Making
the
correlatio
n matrix

3. Picking
up
explanatory
variables

4.
Developing
the multi
regression
model

5.
Improving
the multi
regression
model
3-1. Overviewing the objective data
The overview of E&R expense
1. Half of firms with no investment to E&R
2. Another half of firms with wide range of investment
to E&R

7
3-1. Overviewing the objective data
815 companies
(E&R expense > 0)

1275 companies
(E&R expense = 0)

1. We are just interested in those companies which have experimental
and research expense. So we decided to take the objective data of
815 out of 2090 companies.

2. We converted E&R expense to log10(E&R expense) as the
objective variable to adjust the wide range numerically.
8
3-2. Making the correlation matrix
TotalA
sset
TotalAsset

logTotal
Asset

Current
Asset

LongTerm LongTermL logE&R
Asset
iability
expense

…

1

0.589

0.603

0.960

0.936

0.426 …

logTotalAsset

0.589

1

0.637

0.466

0.428

0.777

CurrentAsset

0.603

0.637

1

0.354

0.311

0.529 …

LongTermAsset

0.960

0.466

0.354

1

0.987

0.313 …

LongTermLiability

0.937

0.428

0.311

0.987

1

0.279 …

logE&Rexpense

0.426

0.777

0.529

0.313

…

…

…

…

0.279
…

1 …
…

To find the explanatory variables which have the strong
relationship with E&R expense.

To categorize the similar explanatory variables not to include
multicollinearity.
9

…
3-3. Picking up explanatory variables
 Top variables which have strong relationship with
E&R expense
Log Total
Asset

Log Current Asset

0.777
Log
Depreciation
0.760
Log Personal
Expense
0.741
10

0.766
Log Number of
Employee

Log Note And
Account Payable
0.706
Log Sales Income

0.756

0.748

Log Aggregate Value Log
of Listed Stock
BreakEvenPoint
0.787

0.697
3-4. Developing the multi regression
model
 Based on hypothesis and statistical approach, we
developed the multi regression model
 Hypothesis is the most important because model
must be easy to explain and be accepted to
audience.
 Then we tried to find the optimal explanatory
variables without decreasing t-value and R^2
Hypothesis

Statistics

A variable

E variable

B variable
C variable
D variable
11

Objective
variable

F variable
.
.
.
.
3-5. Improving the multi regression
model
 An example for improvement

 We have found the relationship with
 Total asset: High negative correlation
 Current asset: High positive correlation

 Then we convert total asset to current asset ratio
(=Current asset / Total asset) to total asset as a very high
positive correlation

Current asset ratio is more important than total asset to
explain E&R expense because
• E&R expense is counted as deferred current asset
• Companies are more active than them with no E&R
12
4. Result
Normalized
coefficient

P-value

Gross profit rate

0.258

P<0.001

Current asset ratio to total asset

0.106

P<0.001

Log Number of employee

0.090

P<0.05

Log Inventory product

0.076

P<0.001

Percentage of export

0.088

P<0.001

Average salary

0.188

P<0.001

Consolidated income ratio to single income

0.092

P<0.001

Investment security

0.073

p<0.01

-0.139

P<0.001

Log Note and account receivable

0.111

P<0.01

Log Depreciation

0.489

P<0.001

Personal expense

13
5. Conclusion I
Smaller
residuals

Strongly fitted

R^2 = 0.5000
model based on hypothesis

R^2 = 0.750
Improved model

Common characteristics :
•
•
•
•

High profit rate, total asset ,cash flow and
High investment on experimental installations and
High number of employees and salary and,
Large global companies.
14
5. Conclusion II
 As a result, we verified three hypothesis data and
one optimal data induced by improving multi
regression model. (Refer to Slide 11)
Correlation

The experimental and research expense is high

Gross profit
rate

Verified

The Capital Stock is correlated

Total asset

Verified

The total asset is correlated

# of employee
is high

Verified

The # of employee is correlated

Current asset
ratio

Verified

The current asset ratio is correlated.

15
6. Possible reasons
 IT bubble era in 1996
-NEC, Fujitsu spent Experimental and research
expenses in 1996.
-IT bubble era, IT companies invested to market
research and advanced technology to identify
themselves from their domestic and foreign competitors.

 Japanese manufacturing style
-Large company, such as electricity, gas or exporting
firms were afford to have laboratory, and spend the
experimental and research expense.

16
7. Role of members
Name

Role

Fujimoto Goshi
(Leader)

-Facilitator
-Analyzing data

Xu Changjing
(Co-leader)

-Analyzing data

Chiba Atsuko

-Analyzing data

Yoshizawa Nobuya

-Preparing presentation slide

17
Thank you for your attention.

Q&A

18
Appendix – simple model
lm(formula = logExperimentalAndResearchExpense ~
logNumberOfEmployee +
logTotalAsset + GrossProfitRate)
Residuals:
Min
1Q Median
3Q
Max
-2.02654 -0.27310 0.09164 0.37059 1.13517

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept)
-2.674841 0.158979 -16.825 < 2e-16 ***
logNumberOfEmployee 0.544842 0.082013 6.643 5.62e-11 ***
logTotalAsset
0.708790 0.070862 10.002 < 2e-16 ***
GrossProfitRate
0.014168 0.001247 11.365 < 2e-16 ***
--Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 0.4997 on 811 degrees of freedom
Multiple R-squared: 0.6715,
Adjusted R-squared: 0.6703
F-statistic: 552.5 on 3 and 811 DF, p-value: < 2.2e-16
19
Appendix – improved model

Residuals:
Min
1Q Median
3Q
Max
-2.02046 -0.23227 0.07728 0.29399 1.24620
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept)
-2.301e+00 1.676e-01 -13.731 < 2e-16 ***
logNumberOfEmployee
1.553e-01 7.990e-02 1.944 0.052296 .
logNoteAndAccountReceivabe
1.676e-01 5.764e-02 2.908 0.003743 **
logInventoryProduct
6.072e-02 1.624e-02 3.739 0.000198 ***
logDeprecoation
6.306e-01 6.513e-02 9.682 < 2e-16 ***
GrossProfitRate
1.588e-02 1.145e-03 13.873 < 2e-16 ***
PerCapitaPersonnelExpenseKYen
-7.497e-05 1.165e-05 -6.437 2.09e-10 ***
RatioTotalCurrentAsset
6.073e-01 1.535e-01 3.957 8.25e-05 ***
PercentageOfExport
4.642e-03 9.954e-04 4.663 3.65e-06 ***
ConsolidatedIncomeToSingleIncomeRatio 1.598e-01 3.371e-02 4.740 2.53e-06 ***
AverageSalary
3.255e-06 3.971e-07 8.197 9.72e-16 ***
InvestmentSecurity
3.755e-06 1.172e-06 3.204 0.001409 **
Residual standard error: 0.4382 on 803 degrees of freedom
Multiple R-squared: 0.7499,
Adjusted R-squared: 0.7465
F-statistic: 218.9 on 11 and 803 DF, p-value: < 2.2e-16
20

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Future Investment Drives High Firm Performance

  • 1. 20/10/2012 Data Analysis 1 - The Prediction of Data Data Analysis Team 05 1 Nobuya Yoshizawa, Goshi Fujimoto, Atsuko Chiba, Xu Changjing
  • 2. Outline 1. Objectives 2. Hypothesis 3. Analysis process 4. Result 5. Conclusion 6. Possible reasons 7. Role of members Q&A 2
  • 3. 1. Objectives  Does the future investment cause the high performance of management?  What is Experimental and research expense? The special expense for studying and researching new product or new technology Experimental and Research Expense (KYen/Firm) ⇒ Future 3 investment! 20,000 40,581 18,000 16,000 14,000 12,000 10,000 11,497 11,203 8,414 8,000 6,000 4,000 2,000 0 3,319 2,3692,1301,991 1,6281,3581,1991,1471,028 829 434 384
  • 4. 2. Hypothesis When Experimental and research expense is high, Gross profit rate is high When a company produces new products, they might be expensive in short range and cause profitable. Total Asset is high Since a company produces new products and technology, the total asset of the company must be high. # of employee is high Large manufacturing company in Japan has a lot of employees and owns the laboratory to produce new products and technology. 4
  • 5. 2. Hypothesis  Scatter with E&R expense Clear relationship between E&R expense and hypothesis variables. We are going to make the multi-regression model next… 5
  • 6. 3. Analysis  To know deeply the objective data and find the correlation with various data 6 1. Overview ing the objectiv e data 2. Making the correlatio n matrix 3. Picking up explanatory variables 4. Developing the multi regression model 5. Improving the multi regression model
  • 7. 3-1. Overviewing the objective data The overview of E&R expense 1. Half of firms with no investment to E&R 2. Another half of firms with wide range of investment to E&R 7
  • 8. 3-1. Overviewing the objective data 815 companies (E&R expense > 0) 1275 companies (E&R expense = 0) 1. We are just interested in those companies which have experimental and research expense. So we decided to take the objective data of 815 out of 2090 companies. 2. We converted E&R expense to log10(E&R expense) as the objective variable to adjust the wide range numerically. 8
  • 9. 3-2. Making the correlation matrix TotalA sset TotalAsset logTotal Asset Current Asset LongTerm LongTermL logE&R Asset iability expense … 1 0.589 0.603 0.960 0.936 0.426 … logTotalAsset 0.589 1 0.637 0.466 0.428 0.777 CurrentAsset 0.603 0.637 1 0.354 0.311 0.529 … LongTermAsset 0.960 0.466 0.354 1 0.987 0.313 … LongTermLiability 0.937 0.428 0.311 0.987 1 0.279 … logE&Rexpense 0.426 0.777 0.529 0.313 … … … … 0.279 … 1 … … To find the explanatory variables which have the strong relationship with E&R expense. To categorize the similar explanatory variables not to include multicollinearity. 9 …
  • 10. 3-3. Picking up explanatory variables  Top variables which have strong relationship with E&R expense Log Total Asset Log Current Asset 0.777 Log Depreciation 0.760 Log Personal Expense 0.741 10 0.766 Log Number of Employee Log Note And Account Payable 0.706 Log Sales Income 0.756 0.748 Log Aggregate Value Log of Listed Stock BreakEvenPoint 0.787 0.697
  • 11. 3-4. Developing the multi regression model  Based on hypothesis and statistical approach, we developed the multi regression model  Hypothesis is the most important because model must be easy to explain and be accepted to audience.  Then we tried to find the optimal explanatory variables without decreasing t-value and R^2 Hypothesis Statistics A variable E variable B variable C variable D variable 11 Objective variable F variable . . . .
  • 12. 3-5. Improving the multi regression model  An example for improvement  We have found the relationship with  Total asset: High negative correlation  Current asset: High positive correlation  Then we convert total asset to current asset ratio (=Current asset / Total asset) to total asset as a very high positive correlation Current asset ratio is more important than total asset to explain E&R expense because • E&R expense is counted as deferred current asset • Companies are more active than them with no E&R 12
  • 13. 4. Result Normalized coefficient P-value Gross profit rate 0.258 P<0.001 Current asset ratio to total asset 0.106 P<0.001 Log Number of employee 0.090 P<0.05 Log Inventory product 0.076 P<0.001 Percentage of export 0.088 P<0.001 Average salary 0.188 P<0.001 Consolidated income ratio to single income 0.092 P<0.001 Investment security 0.073 p<0.01 -0.139 P<0.001 Log Note and account receivable 0.111 P<0.01 Log Depreciation 0.489 P<0.001 Personal expense 13
  • 14. 5. Conclusion I Smaller residuals Strongly fitted R^2 = 0.5000 model based on hypothesis R^2 = 0.750 Improved model Common characteristics : • • • • High profit rate, total asset ,cash flow and High investment on experimental installations and High number of employees and salary and, Large global companies. 14
  • 15. 5. Conclusion II  As a result, we verified three hypothesis data and one optimal data induced by improving multi regression model. (Refer to Slide 11) Correlation The experimental and research expense is high Gross profit rate Verified The Capital Stock is correlated Total asset Verified The total asset is correlated # of employee is high Verified The # of employee is correlated Current asset ratio Verified The current asset ratio is correlated. 15
  • 16. 6. Possible reasons  IT bubble era in 1996 -NEC, Fujitsu spent Experimental and research expenses in 1996. -IT bubble era, IT companies invested to market research and advanced technology to identify themselves from their domestic and foreign competitors.  Japanese manufacturing style -Large company, such as electricity, gas or exporting firms were afford to have laboratory, and spend the experimental and research expense. 16
  • 17. 7. Role of members Name Role Fujimoto Goshi (Leader) -Facilitator -Analyzing data Xu Changjing (Co-leader) -Analyzing data Chiba Atsuko -Analyzing data Yoshizawa Nobuya -Preparing presentation slide 17
  • 18. Thank you for your attention. Q&A 18
  • 19. Appendix – simple model lm(formula = logExperimentalAndResearchExpense ~ logNumberOfEmployee + logTotalAsset + GrossProfitRate) Residuals: Min 1Q Median 3Q Max -2.02654 -0.27310 0.09164 0.37059 1.13517 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -2.674841 0.158979 -16.825 < 2e-16 *** logNumberOfEmployee 0.544842 0.082013 6.643 5.62e-11 *** logTotalAsset 0.708790 0.070862 10.002 < 2e-16 *** GrossProfitRate 0.014168 0.001247 11.365 < 2e-16 *** --Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 0.4997 on 811 degrees of freedom Multiple R-squared: 0.6715, Adjusted R-squared: 0.6703 F-statistic: 552.5 on 3 and 811 DF, p-value: < 2.2e-16 19
  • 20. Appendix – improved model Residuals: Min 1Q Median 3Q Max -2.02046 -0.23227 0.07728 0.29399 1.24620 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -2.301e+00 1.676e-01 -13.731 < 2e-16 *** logNumberOfEmployee 1.553e-01 7.990e-02 1.944 0.052296 . logNoteAndAccountReceivabe 1.676e-01 5.764e-02 2.908 0.003743 ** logInventoryProduct 6.072e-02 1.624e-02 3.739 0.000198 *** logDeprecoation 6.306e-01 6.513e-02 9.682 < 2e-16 *** GrossProfitRate 1.588e-02 1.145e-03 13.873 < 2e-16 *** PerCapitaPersonnelExpenseKYen -7.497e-05 1.165e-05 -6.437 2.09e-10 *** RatioTotalCurrentAsset 6.073e-01 1.535e-01 3.957 8.25e-05 *** PercentageOfExport 4.642e-03 9.954e-04 4.663 3.65e-06 *** ConsolidatedIncomeToSingleIncomeRatio 1.598e-01 3.371e-02 4.740 2.53e-06 *** AverageSalary 3.255e-06 3.971e-07 8.197 9.72e-16 *** InvestmentSecurity 3.755e-06 1.172e-06 3.204 0.001409 ** Residual standard error: 0.4382 on 803 degrees of freedom Multiple R-squared: 0.7499, Adjusted R-squared: 0.7465 F-statistic: 218.9 on 11 and 803 DF, p-value: < 2.2e-16 20